Dear all, on May 14-15-16, 2009 it will take place at the "Dipartimento di Matematica e Applicazioni" of the "Universita' di Milano-Bicocca", the workshop ...
Hi all, Suppose I have a known 3-D vector field $\hat{b}$, is it always possible to express another vector field(Let's call it A) which is perpendicular to...
Dear All, Let me ask a related question here: What are the characteristics/properties of a vector field that can be expressed as $\hat{b}\times\nabla\Phi$...
Dear SXSW, Are you aware of the Helmholtz theorem on general decompositions of vector fields into potentials that are curl free and divergence free (sometimes...
Dear all, I am looking for a participant to share a hotel-room for Fefferman's conference from May 4-8 th at Princeton. I booked one (nonsmoking) room at...
Dear All, I think I can put my original question in a cleaner, equivalent form: Given an arbitrary vector field in 3-D, $\vec{A}$, is it always possible to...
Dear members is there a rather elementary book on Navier-Stokes equation (e.i. fluid dynamics) within the framework of harmonic analysis? best regards, anthony...
I don't know about elementary....but one source is the book by P.G Lemarie-Reusset entitled "Recent Developments in the Navier-Stokes problem". Another...
... My impression is that most of the books try hard not to be elementary. The authors like to state the results in maximally general form, and most general...
http://fourier.math.uoc.gr/ch2009 <http://fourier.math.uoc.gr/ch2009> Complex and Harmonic Analysis 2009 Archanes, 3-5 September 2009 At the Department of...
Dear members, I don't see how to prove the following: Let $G$ be a compact group and $(\pi, E)$ a finite linear representation of $G$. We consider a a...
Dear Mostafa Maslouhi  Define the operator $$A:E\rightarrow E$$ as $$A(a)=\int_G\pi(x)a dx$$ where the integral has to be interpreted in the weak sense...
Hello again, It may be illuminating to look at this 1957 paper by Chandrasekhar and Kendall on vector wave equation solutions and their relation to scalar wave...
Bedros Afeyan
bafeyan@...
Apr 28, 2009 5:58 pm
424
Hope this helps http://perso-math.univ-mlv.fr/users/danchin.raphael/courschine.pdf Thang Huynh On Wed, Apr 22, 2009 at 4:38 PM, Stephen Montgomery-Smith <...
Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...
Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...
If you have a locally compact Hausdorff space, then every point has a local basis of compact neighbourhoods. I.e. for any point there is a compact set which...
Can we say that there is no countably additive invariant measure on the additive group of rational numbers with the subspace topology from the real line? ...
Dear All Thanks a lot Maria Roginskala. please help me with the following questions : 1-As I know when $G$ is a compact group then the Haar measure $\mu$ ...
Any subset of rational numbers is a countable union of points. As all points are congruent, you can have either m(p)=0, and then the whole measure is 0. Or you...
Dear Fatima  1. Unless the haar measure is bounded it will not belong to M(G). 2. Ofcourse, one can conclude that the haar measure is not discrete. This...
Dear all, I would like to know why the (Bessel-like ?) operator which maps exp(2i.pi.m.x) |-> exp(2i.pi.m.x) / (1 + |m|^2)^{n/2 - 1} for any multi-index m \in...
This reply assumes that you left out a square root: (1+|m|^2)^{(n/2-1)/2}. This operator may be expressed as convolution with a kernel k(x) which has a...
... I have an elementary proof of a similar result at the end of the paper: http://www.math.missouri.edu/~stephen/preprints/thin.html You may be able to adopt...
Dear all, As you know, the linear bounded operators mapping L^p(R^N) to L^q(R^N) (that commute with translations) are given by a convolution of a tempered...
Dear all, does there exist a characterization of the space of harmonic functions ? (To be clear, let us consider the Banach space of harmonic functions on the...
Dear Members can any one help me about some qusetions from these lemma. we fisrt have some assumptions: Asuumptions: Let $\mu$ be a finite positive regular...
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